She is known for her roles as Portlyn on Sonny with a Chance, Olivia on MTV's Awkward, Gwen Adams in American High School, Lex Mitchell in Forget Me Not, Brandi Cox in Wild Things: Foursome, and as the body model for Dr. Liara T'Soni for the Mass Effect video game series.

Murray starred in a recurring role on the Disney Channel original series Sonny with a Chance, playing Portlyn.

[citation needed] Murray's face and body were used as the model for the character of Liara T'Soni in the Mass Effect franchise of video games.

At the end of 2013, she played the female lead in a golf drama titled The Squeeze alongside Jeremy Sumpter, Christopher McDonald and Michael Nouri.

[11] In 2015, Murray was cast in the recurring role of Dr. Heather Pinkney on CBS's Code Black;[12] in summer 2016 she was promoted to series regular for the show's second season.